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Finding the Fourth Proportional to 115,442.01, 172,984.41 and 77,854.77

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Solution

The fourth proportional to 115,442.01, 172,984.41 and 77,854.77 is: 116,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,442.01 : 172,984.41 = 77,854.77 : x
  2. Step 2: Convert to fraction form
    115,442.01/172,984.41 = 77,854.77/x
  3. Step 3: Cross multiply
    115,442.01x = 172,984.41 × 77,854.77
  4. Step 4: Simplify right side
    115,442.01x = 13,467,661,454.14
  5. Step 5: Solve for x
    x = 13,467,661,454.14/115,442.01
  6. Step 6: Final answer
    x = 116,661.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.